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Finding the Fourth Proportional to 5,200.66, 7,802.23 and 1,690.69

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Solution

The fourth proportional to 5,200.66, 7,802.23 and 1,690.69 is: 2,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.66 : 7,802.23 = 1,690.69 : x
  2. Step 2: Convert to fraction form
    5,200.66/7,802.23 = 1,690.69/x
  3. Step 3: Cross multiply
    5,200.66x = 7,802.23 × 1,690.69
  4. Step 4: Simplify right side
    5,200.66x = 13,191,115.34
  5. Step 5: Solve for x
    x = 13,191,115.34/5,200.66
  6. Step 6: Final answer
    x = 2,536.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.